Evaluate lim _{x rightarrow 2} frac{(x-2)(x+2)^{2}}{x^{2}-4}

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Step:1 ：Simplify the expression: (frac{(x-2)(x+2)^{2}}{x^{2}-4} = x + 2)Step:2 ：Evaluate the limit as x approaches 2: (lim_{x rightarrow 2} (x + 2) = boxed{4})

Answer

Step: 1 ：Simplify the expression: (frac{(x-2)(x+2)^{2}}{x^{2}-4} = x + 2)Step: 2 ：Evaluate the limit as x approaches 2: (lim_{x rightarrow 2} (x + 2) = boxed{4})

Evaluate $\lim _{x \rightarrow 2} \frac{(x-2)(x+2)^{2}}{x^{2}-4}$

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